from collections import Counter

x = 10 ** 6
factor = [[i] for i in range(x + 1)]

for i in range(2, x + 1):
    if len(factor[i]) != 1: continue
    k = 2
    while i * k <= x:
        value = factor[i * k].pop() 
        while value % i == 0:
            factor[i * k].append(i)
            value //= i
        if value != 1:
            factor[i * k].append(value)
        k += 1

def f(x):
    return x * (x + 1) * (x ** 2 + x + 2) // 8

T = int(input())
def solve():
    K = int(input())

    if K == 1:
        print(1)
        return

    c = Counter(factor[K])
    ans = 1
    for p in c.keys():
        ans *= f(c[p] + 1)
    print(ans)


for _ in range(T):
    solve()